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Simplifying 10a + 9 = 5a + 59 Reorder the terms: 9 + 10a = 5a + 59 Reorder the terms: 9 + 10a = 59 + 5a Solving 9 + 10a = 59 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 9 + 10a + -5a = 59 + 5a + -5a Combine like terms: 10a + -5a = 5a 9 + 5a = 59 + 5a + -5a Combine like terms: 5a + -5a = 0 9 + 5a = 59 + 0 9 + 5a = 59 Add '-9' to each side of the equation. 9 + -9 + 5a = 59 + -9 Combine like terms: 9 + -9 = 0 0 + 5a = 59 + -9 5a = 59 + -9 Combine like terms: 59 + -9 = 50 5a = 50 Divide each side by '5'. a = 10 Simplifying a = 10
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